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You don't need the phone ITSELF to have a big battery, you can buy an enormous capacity backup battery online, and a charging cord, and bring the battery backup pack and charging cord with you. But yeah using your phone and an app with pre-downloaded maps is way easier than using a paper map and compass or a Garmin and also has the advantage, as does the Garmin, of telling you your position in real time on the map, without the fiddly ancient interface and software of the Garmin device.
>Hiking shoes or sneakers?
depends on the trail